Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 53, Issue 40, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aba4d0
Keywords
Fokker-Planck equation; gene regulatory networks; stochastic gene expression; stochastic simulations
Categories
Funding
- BBSRC EASTBIO PhD studentship
- Darwin Trust scholarship
- Leverhulme Trust [RPG-2018-423]
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A common model of stochastic auto-regulatory gene expression describes promoter switching via cooperative protein binding, effective protein production in the active state and dilution of proteins. Here we consider an extension of this model whereby colored noise with a short correlation time is added to the reaction rate parameters-we show that when the size and timescale of the noise is appropriately chosen it accounts for fast reactions that are not explicitly modeled, e.g., in models with no mRNA description, fluctuations in the protein production rate can account for rapid multiple stages of nuclear mRNA processing which precede translation in eukaryotes. We show how the unified colored noise approximation can be used to derive expressions for the protein number distribution that is in good agreement with stochastic simulations. We find that even when the noise in the rate parameters is small, the protein distributions predicted by our model can be significantly different than models assuming constant reaction rates.
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